Inducing a nonreflective airborne discontinuity in a circular duct by using a nonresonant side branch to create mode complexity

The Journal of the Acoustical Society of America
Yongxiong XiaoLawrence A Bergman

Abstract

A nonreflective airborne discontinuity is created in a one-dimensional rigid-walled duct when the mode complexity introduced by a nonresonant side branch reaches a maximum, so that a sound wave can be spatially separated into physical regions of traveling and standing waves. The nonresonance of the side branch is demonstrated, the mode complexity is quantified, and a computational method to optimize side-branch parameters to maximize mode complexity in the duct in the presence of three-dimensional effects is presented. The optimal side-branch parameters that maximize the mode complexity and thus minimize reflection are found using finite element analysis and a derivative-free optimization routine. Sensitivity of mode complexity near the optimum with respect to side-branch parameters is then examined. The results show reflection from the impedance discontinuity in the duct can be reduced nearly to zero, providing a practical means of achieving a nonreflective discontinuity for a plane wave propagating in a duct of finite length.

References

May 17, 2011·The Journal of the Acoustical Society of America·Ganghua YuDeyu Li
Jul 30, 2014·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Victor Krylov

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Citations

Jun 4, 2019·The Journal of the Acoustical Society of America·Yongxiong XiaoLawrence A Bergman

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